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Finding the Fourth Proportional to 5,182.32, 7,769.43 and 3,534.78

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Solution

The fourth proportional to 5,182.32, 7,769.43 and 3,534.78 is: 5,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.32 : 7,769.43 = 3,534.78 : x
  2. Step 2: Convert to fraction form
    5,182.32/7,769.43 = 3,534.78/x
  3. Step 3: Cross multiply
    5,182.32x = 7,769.43 × 3,534.78
  4. Step 4: Simplify right side
    5,182.32x = 27,463,225.78
  5. Step 5: Solve for x
    x = 27,463,225.78/5,182.32
  6. Step 6: Final answer
    x = 5,299.41

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